Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :

If in a triangle ABC, A = tan-1 2 and B = tan-1 3, then angle C =

1) π / 2

2) π / 3

3) π / 4

4) None of these

Solution: (3) π / 4

It is given that, ∠A = tan-1 2, ∠B = tan-1 3

∠A + ∠B + ∠C = π

tan-1 2 + tan-1 3 + ∠C = π

tan-1 [2 + 3] / [1 – 2 * 3] + ∠C = π

tan-1 (1) + ∠C = π

(3π / 4) + ∠C = π

∠C = π / 4

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